A trapezium has two parallel sides of length 5cm and 9cm. If the area is 91cm², find the distance between the parallel sides

A. 13 cm

B. 4 cm

C. 6 cm

D. 7 cm

QUICK ANSWER…

A

DETAILS…

If a trapezium has two parallel sides of length 5cm and 9cm, and if the area is 91cm², the distance between the parallel sides is

Area of a trapezium = ½ h(a + b)

Where:

h = distance between the parallel lines =?

a = length of one of the lines = 5cm

b = length of the other line = 9cm

area was given as 91cm²

thus:

91 = ½ h(5 + 9)

91 = ½ h(14)

91 = 7h

h = 91/7 = 13cm

Now for the right answer to the above question:

1. Option A is correct.
2. Option B is not correct.
3. C is not correct.
4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

• Area of a trapezium = ½ h(a + b)

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/ culled from 2021 JAMB-UTME MATHEMATICS question 5 /